x^2-4x+3=0 answer me fast
Answers
Answer:
7
Step-by-step explanation:
x^2-4x+3=0
x^2-4x=0-3
x^2=-3+4x
X x X/X=3+4
x=7
Answer: 1 and 3 are the roots of the equation.
Step-by-step explanation:
Given: We are given a quadratic equation x² - 4x + 3
What to do? We need to solve the given equation and find their roots.
Solution:
Let's solve the given equation by factorization method.
→ x² - 4x + 3 = 0
→ x² - x - 3x + 3 = 0
→ x ( x - 1 ) - 3 ( x - 1 ) = 0
→ ( x - 3 ) ( x - 1 ) = 0
→ x - 3 = 0 and x - 1 = 0
→ x = 3 and x = 1
Steps involved:
1. First, we have split the middle term ( - 4x ) as ( - x - 3x ), as per sum - product pattern.
2. Then, we have taken x and - 3 as common factors from two pairs.
3. Next, we have written the equation in factorized form.
4. At last, we have found the roots of the equation as 1 and 3.
Final Answer: The roots of the equation x² - 4x + 3 = 0 are 1 and 3.
# Learn more:
1. Find the product of the roots of quadratic equation 2x² +7x -4 = 0
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